Geodesic
On Morrey's estimate of the Sobolev norms of solutions of elliptic equations
Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 450-469 
S. V. Shaposhnikov. On Morrey's estimate of the Sobolev norms of solutions of elliptic equations. Matematičeskie zametki, Tome 79 (2006) no. 3, pp. 450-469. http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a11/
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     author = {S. V. Shaposhnikov},
     title = {On {Morrey's} estimate of the {Sobolev} norms of solutions of elliptic equations},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_79_3_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We give a complete proof of Morrey's estimate for the $W^{1,p}$-norm of a solution of a second-order elliptic equation on a domain in terms of the $L_1$-norm of this solution. The dependence of the constant in this estimate on the coefficients of the equation is investigated.

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